Can anyone explain to me how to do the following questions?
1.The function f is defined for all positive integers n by the following rule:f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. if p is any prime number then f(p) =
a)p-1
b)p-2
c)p+1/2
d)p-1/2
e)2
2. A thin piece of wire 40 meters long is cut into 2 pieces. One piece is used to form a circle with radius r and the other is used to form a square, no wire is left over. Which of the following represents the total area in square meters of the circular and the square regions in terms of r
a)IIr sq
b)IIr sq +10
c)II r sq + 1/4 II sq r sq
d)IIr sq + (40-2IIr) sq
e)IIs sq +(10- 1/2IIr) sq
3. A vending machine is designed to dispense a ounces of coffee into a cup. after a test that recorded the number of ounce of coffee in each of 1000 cups dispensed by the vending machine the 12 listed amounts below, in ounces were selected from the data. If the 1000 recorded amounts have a mean of 8.1 ounces and standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
a) four
b) six
c)nine
d)ten
e)eleven
1.The function f is defined for all positive integers n by the following rule:f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. if p is any prime number then f(p) =
a)p-1
b)p-2
c)p+1/2
d)p-1/2
e)2
2. A thin piece of wire 40 meters long is cut into 2 pieces. One piece is used to form a circle with radius r and the other is used to form a square, no wire is left over. Which of the following represents the total area in square meters of the circular and the square regions in terms of r
a)IIr sq
b)IIr sq +10
c)II r sq + 1/4 II sq r sq
d)IIr sq + (40-2IIr) sq
e)IIs sq +(10- 1/2IIr) sq
3. A vending machine is designed to dispense a ounces of coffee into a cup. after a test that recorded the number of ounce of coffee in each of 1000 cups dispensed by the vending machine the 12 listed amounts below, in ounces were selected from the data. If the 1000 recorded amounts have a mean of 8.1 ounces and standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
a) four
b) six
c)nine
d)ten
e)eleven
